caa a22 4500 469084766 CHVBK 20180323133002.0 cr unu---uuuuu 170328e19921101xx s 000 0 eng 10.1007/BF00044515 doi (NATIONALLICENCE)springer-10.1007/BF00044515 Piltner Reinhard Department of Civil Engineering, University of California at Berkeley, 94720, CA, U.S.A. aut The derivation of a thick and thin plate formulation without ad hoc assumptions [Elektronische Daten] [Reinhard Piltner] For the plate formulation considered in this paper, appropriate three-dimensional elasticity solution representations for isotropic materials are constructed. No a priori assumptions for stress or displacement distributions over the thickness of the plate are made. The strategy used in the derivation is to separate functions of the thickness variable z from functions of the coordinates x and y lying in the midplane of the plate. Real and complex 3-dimensional elasticity solution representations are used to obtain three types of functions of the coordinates x, y and the corresponding differential equations. The separation of the functions of the thickness coordinate can be done by separately considering homogeneous and nonhomogeneous boundary conditions on the upper and lower faces of the plate. One type of the plate solutions derived involves polynomials of the thickness coordinate z. The other two solution forms contain trigonometric and hyperbolic functions of z, respectively. Both bending and stretching (or in-plane) solutions are included in the derivation. Kluwer Academic Publishers, 1992 Journal of Elasticity Kluwer Academic Publishers 29/2(1992-11-01), 133-173 0374-3535 29:2<133 1992 29 10659 https://doi.org/10.1007/BF00044515 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF00044515 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Piltner Reinhard Department of Civil Engineering, University of California at Berkeley, 94720, CA, U.S.A aut NATIONALLICENCE 773 0- Journal of Elasticity Kluwer Academic Publishers 29/2(1992-11-01), 133-173 0374-3535 29:2<133 1992 29 10659 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer